What is the Greatest Common Factor of 3922 and 3942?

Greatest common factor (GCF) of 3922 and 3942 is 2.

GCF(3922,3942) = 2

We will now calculate the prime factors of 3922 and 3942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3922 and 3942.

How to find the GCF of 3922 and 3942?

We will first find the prime factorization of 3922 and 3942. After we will calculate the factors of 3922 and 3942 and find the biggest common factor number .

Step-1: Prime Factorization of 3922

Prime factors of 3922 are 2, 37, 53. Prime factorization of 3922 in exponential form is:

3922 = 2¹ × 37¹ × 53¹

Step-2: Prime Factorization of 3942

Prime factors of 3942 are 2, 3, 73. Prime factorization of 3942 in exponential form is:

3942 = 2¹ × 3³ × 73¹

Step-3: Factors of 3922

List of positive integer factors of 3922 that divides 3922 without a remainder.

1, 2, 37, 53, 74, 106, 1961

Step-4: Factors of 3942

List of positive integer factors of 3942 that divides 3922 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3922 and 3942. The biggest common factor number is the GCF number.
So the greatest common factor 3922 and 3942 is 2.

Also check out the Least Common Multiple of 3922 and 3942